Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_ISSAC05_Bessack_4_m2.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application:
CAD calls of SUMCracker-ProveInequality to prove Bessack Inequality with (a,b)=(4,-2) in
S. Gerhold and M. Kauers, A Procedure for Proving Special Function Inequalities Involving a Discrete Parameter.
ISSAC '05: Proceedings of the 2005 international symposium on Symbolic and algebraic computationJuly 2005 Pages 156-162.
(https://dl.acm.org/doi/10.1145/1073884.1073907)
All denominators in the original CAD call got cleared in a simple way:
a/b == c/d --> a d==b c && b<>0 && d<>0
a/b > c/d --> a d^2 >=b^2 c && b<>0 && d<>0
| Benchmark |
|---|
| Size | 1477 |
| Compressed Size | 805 |
| License |
Creative Commons Attribution 4.0 International
(CC-BY-4.0)
|
| Category | industrial |
| First Occurrence | 2022-08-10 |
| Generated By | Ali K. Uncu, Matthew England, and James H. Davenport |
| Generated On | 2022-01-08 00:00:00 |
| Generator | SUMCracker-ProveInequality function by Manuel Kauers ("https://www3.risc.jku.at/research/combinat/software/ergosum/RISC/SumCracker.html") |
| Dolmen OK | 1 |
| strict Dolmen OK | 1 |
| check-sat calls | 1 |
| Status | unsat |
| Inferred Status | unsat |
| Size | 1424 |
| Compressed Size | 790 |
| Max. Term Depth | 6 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 4 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 1 |
and | 1 |
= | 1 |
+ | 12 |
* | 12 |
< | 5 |
<= | 1 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.05251
|
0.05307
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.02000
|
1199.86000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.04535
|
0.04540
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01817
|
0.00644
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.02607
|
0.02602
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
0.15614
|
0.15689
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01345
|
0.01340
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01793
|
0.01979
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28319
|
0.28326
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.03203
|
0.03159
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.04383
|
0.04392
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01854
|
0.00694
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.02713
|
0.02710
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01117
|
0.01084
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02314
|
0.02333
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28258
|
0.28264
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.28504
|
0.28509
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.22922
|
0.12972
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.40574
|
0.41340
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.21947
|
0.11977
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.22362
|
0.12387
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.26873
|
0.16891
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.29125
|
0.17186
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43874
|
0.42180
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.27988
|
0.15898
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.31176
|
0.17709
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.60170
|
0.48247
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.28942
|
0.16849
|
| |
|
z3siri-base |
unsat ✅
|
0.25967
|
0.14165
|